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Dynamics of Point Vortex Singularities

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Coherent Vortex Structures in Fluids and Plasmas

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Abstract

This chapter focuses on localized vortices in an incompressible fluid. We consider in detail a class of point vortices that can serve as an example of single hydrodynamic quasiparticles. The interaction and movement of even a small finite number of these vortices generate complex hydrodynamic flows. We develop the general theory of the motion of complex point vortex singularities. We also examine the interaction of dipole vortices with ordinary point vortices. In addition, we study the motion of point dipoles in a restricted domain. The first section presents the main properties of a large number of known localized vortices.

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Authors and Affiliations

  1. Institut de Recherche en Astrophysique et Planétologie, CNRS, SC. de L’Univ., Toulouse CX 04, France

    Anatoli Tur

  2. Institute for Single Crystals, National Academy of Science of Ukraine, Kharkov, Ukraine

    Vladimir Yanovsky

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  1. Anatoli Tur
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  2. Vladimir Yanovsky
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Tur, A., Yanovsky, V. (2017). Dynamics of Point Vortex Singularities. In: Coherent Vortex Structures in Fluids and Plasmas. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-52733-8_2

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